Atkin-Lehner |
2+ 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538m |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
6896992256 = 214 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-579,3518] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:101:1] [-1:64:1] |
Generators of the group modulo torsion |
j |
437003224441/140754944 |
j-invariant |
L |
5.0984564118683 |
L(r)(E,1)/r! |
Ω |
1.227802272427 |
Real period |
R |
1.0381265221324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538b1 |
Quadratic twists by: -7 |